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Finding the Fourth Proportional to 202.52, 277.65 and 197.08

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Solution

The fourth proportional to 202.52, 277.65 and 197.08 is: 270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.52 : 277.65 = 197.08 : x
  2. Step 2: Convert to fraction form
    202.52/277.65 = 197.08/x
  3. Step 3: Cross multiply
    202.52x = 277.65 × 197.08
  4. Step 4: Simplify right side
    202.52x = 54,719.26
  5. Step 5: Solve for x
    x = 54,719.26/202.52
  6. Step 6: Final answer
    x = 270.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.